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PROBLEM SET UNIT Problems Suppose you want to determine if the number of hours studying for an exam is associated with the score the students obtained. To do this, you randomly selected 16 students, asked them how many hours they studied for the exam (X), and what are their scores in the exam (Y). X 15.0 9.5 12.5 8.0 14.0 7.0 10.5 6.5 Y 97.9 82.6 93.0 82.3 100.0 81.9 89.2 78.4 X 8.5 11.0 7.5 3.0 5.5 4.5 9.0 5.0 Y 81.5 92.3 85.7 63.2 74.8 70.5 87.6 75.0 a. Construct a scatterplot and describe the relationship between X and Y. b. Calculate for the sample correlation coefficientr between X and Y. Describe the association and use this to support the pattern you see in the scatterplot. c. Test if there is a linear relationship between the number of hours studying and exam scores at 0.01 level of significance.

PROBLEM SET UNIT Problems Suppose you want to determine if the number of hours studying for an exam is associated with the score the students obtained. To do this, you randomly selected 16 students, asked them how many hours they studied for the exam (X), and what are their scores in the exam (Y). X 15.0 9.5 12.5 8.0 14.0 7.0 10.5 6.5 Y 97.9 82.6 93.0 82.3 100.0 81.9 89.2 78.4 X 8.5 11.0 7.5 3.0 5.5 4.5 9.0 5.0 Y 81.5 92.3 85.7 63.2 74.8 70.5 87.6 75.0 a. Construct a scatterplot and describe the relationship between X and Y. b. Calculate for the sample correlation coefficientr between X and Y. Describe the association and use this to support the pattern you see in the scatterplot. c. Test if there is a linear relationship between the number of hours studying and exam scores at 0.01 level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Help me atleast letters a and b please. Badly need ur help.

Statistics and Probability PROBLEM SET UNIT Problems Suppose you want to determine if the number of hours studying for an exam is associated with the score the students obtained. To do this, you randomly selected 16 students, asked them how many hours they studied for the exam (X), and what are their scores in the exam (Y). 15.0 9.5 12.5 8.0 14.0 7.0 10.5 6.5 Y 97.9 82.6 93.0 82.3 100.0 81.9 89.2 78.4 8.5 11.0 7.5 3.0 5.5 4.5 9.0 5.0 Y 81.5 92.3 85.7 63.2 74.8 70.5 87.6 75.0 Construct a scatterplot and describe the relationship between X and Y. а. b. Calculate for the sample correlation coefficient r between X and Y. Describe the association and use this to support the pattern you see in the scatterplot. c. Test if there is a linear relationship between the number of hours studying and exam scores at 0.01 level of significance. d. Find the equation of the straight line that fits the data best and interpret the slope. e. Determine and interpret the coefficient of determination R2. f. Predict the average exam score when a student studied for 14.5 hours.
Transcribed Image Text:Statistics and Probability PROBLEM SET UNIT Problems Suppose you want to determine if the number of hours studying for an exam is associated with the score the students obtained. To do this, you randomly selected 16 students, asked them how many hours they studied for the exam (X), and what are their scores in the exam (Y). 15.0 9.5 12.5 8.0 14.0 7.0 10.5 6.5 Y 97.9 82.6 93.0 82.3 100.0 81.9 89.2 78.4 8.5 11.0 7.5 3.0 5.5 4.5 9.0 5.0 Y 81.5 92.3 85.7 63.2 74.8 70.5 87.6 75.0 Construct a scatterplot and describe the relationship between X and Y. а. b. Calculate for the sample correlation coefficient r between X and Y. Describe the association and use this to support the pattern you see in the scatterplot. c. Test if there is a linear relationship between the number of hours studying and exam scores at 0.01 level of significance. d. Find the equation of the straight line that fits the data best and interpret the slope. e. Determine and interpret the coefficient of determination R2. f. Predict the average exam score when a student studied for 14.5 hours.
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